What is 1/1000 as a Decimal?

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What is 1/1000 as a decimal?

Answer

Fraction 1/1000 as a decimal is
0.001

Exact, terminating: denominator 1000 = 2 × 2 × 2 × 5 × 5 × 5 has only 2s and 5s · 3 decimal places

1 ÷ 1000 by long division

remainder×10= digit × 1000 + new remainderdigit
1100 × 1000 + 100
101000 × 1000 + 1000
10010001 × 1000 + 01

The remainder reaches 0 after 3 steps → 0.001 ends.

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
1/9830.00101729399796…
1/9840.00101626
1/9850.00101522842639…
1/9870.00101317122593…
1/9890.00101112234580…
1/9900.001
1/9910.00100908173562…
1/9920.00100806451612903225
1/9930.00100704934541…
1/9940.00100603621730…
1/9950.00100502512562…
1/9960.00100401606425…
1/9970.00100300902708…
1/9980.00100200400801…
1/9990.001
1/10000.001
1/10010.000999
1/11010.00090826521344…
1/16010.00062460961898…
1/18010.00055524708495…
1/20010.00049975012493…
1/22010.00045433893684…
1/23010.00043459365493…
1/24010.00041649312786…
1/26010.00038446751249…
1/27010.00037023324694…
1/32010.00031240237425…
1/35010.00028563267637…
1/36010.00027770063871…
1/37010.00027019724398…

FAQ

What is 1/1000 as a decimal?

Fraction 1/1000 as a decimal is 0.001

How do you convert 1/1000 to a decimal?

To convert 1/1000 to a decimal, divide the numerator by the denominator: 1 ÷ 1000 = 0.001.

Why is 1/1000 a terminating decimal?

In lowest terms its denominator 1000 = 2 × 2 × 2 × 5 × 5 × 5 has no prime factors other than 2 and 5, so the division ends after 3 decimal places: 1/1000 = 0.001.

What is 1/1000 as a percent?

Multiply by 100: 1/1000 = 0.1%.

See Also